100400329 has 2 divisors, whose sum is σ = 100400330. Its totient is φ = 100400328.

The previous prime is 100400323. The next prime is 100400357. The reversal of 100400329 is 923004001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100100025 + 300304 = 10005^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 100400329 - 2¹¹ = 100398281 is a prime.

It is not a weakly prime, because it can be changed into another prime (100400323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200164 + 50200165.

It is an arithmetic number, because the mean of its divisors is an integer number (50200165).

Almost surely, 2^100400329 is an apocalyptic number.

It is an amenable number.

100400329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100400329 is an equidigital number, since it uses as much as digits as its factorization.

100400329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100400329 is about 10019.9964570852. The cubic root of 100400329 is about 464.7774462040. Note that the first 3 decimals are identical.

The spelling of 100400329 in words is "one hundred million, four hundred thousand, three hundred twenty-nine".